Estimate for the Entropy Numbers of the Weighted Hardy Operators that Act from Banach Space to q-Banach Space


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Abstract

We study weighted Hardy operators from the Banach space Lp to the q-Banach space Lq and obtain estimates for the entropy numbers of one- and two-weighted Hardy operators with nonnegative measurable weight functions.

About the authors

E. N. Lomakina

Khabarovsk State University of Economics and Law

Author for correspondence.
Email: enlomakina@mail.ru
Russian Federation, Khabarovsk

M. G. Nasyrova

Computing Center of the Far Eastern Branch of the Russian Academy of Sciences

Author for correspondence.
Email: nassm@mail.ru
Russian Federation, Khabarovsk


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